Use Implicit Differentiation to Find Dy/dx $$\frac { x + y } { x - y } = x ^ { 2 } + y ^ { 2 }$$

question 282

Multiple Choice

Use implicit differentiation to find dy/dx.
- $$\frac { x + y } { x - y } = x ^ { 2 } + y ^ { 2 }$$

• A) \(\frac { x ( x - y ) ^ { 2 } + y } { x + y ( x - y ) ^ { 2 } }\)
• B) \(\frac { x ( x - y ) ^ { 2 } - y } { x - y ( x - y ) ^ { 2 } }\)
• C) \(\frac { x ( x - y ) ^ { 2 } + y } { x - y ( x - y ) ^ { 2 } }\)
• D) \(\frac { x ( x - y ) ^ { 2 } - y } { x + y ( x - y ) ^ { 2 } }\)

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Definitions:

Smallest Element

The element with the lowest value or order in a collection or sequence.

Binary Search

A search algorithm that finds the position of a target value within a sorted array by continuously dividing the search interval in half.

Key Comparisons

The process of comparing two keys (in sorting, searching, etc.) to determine their relative order or equality.

Iteration

Iteration in programming refers to the repetition of a block of statements or a process a specific number of times or until a condition is satisfied.